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Boundary-Value Problems for Nonlinear Parabolic Equations with Delay and Degeneration at the Initial Time

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Ukrainian Mathematical Journal Aims and scope

We study boundary-value problems with Dirichlet conditions for nonlinear parabolic equations with variable delay (i.e., delay is a function of time) and degeneration at the initial time. The existence and uniqueness of the classical solution of this problem are proved. The a priori estimates of this solution are obtained.

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Authors and Affiliations

  1. Franko Lviv National University, Lviv, Ukraine

    M. M. Bokalo & O. V. Il’nyts’ka

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  1. M. M. Bokalo
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  2. O. V. Il’nyts’ka
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 68, No. 9, pp. 1155–1168, September, 2016.

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Bokalo, M.M., Il’nyts’ka, O.V. Boundary-Value Problems for Nonlinear Parabolic Equations with Delay and Degeneration at the Initial Time. Ukr Math J 68, 1323–1339 (2017). https://doi.org/10.1007/s11253-017-1298-6

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  • DOI: https://doi.org/10.1007/s11253-017-1298-6

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